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Finding the Fourth Proportional to 260.12, 389.70 and 232.99

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Solution

The fourth proportional to 260.12, 389.70 and 232.99 is: 349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 389.70 = 232.99 : x
  2. Step 2: Convert to fraction form
    260.12/389.70 = 232.99/x
  3. Step 3: Cross multiply
    260.12x = 389.70 × 232.99
  4. Step 4: Simplify right side
    260.12x = 90,796.20
  5. Step 5: Solve for x
    x = 90,796.20/260.12
  6. Step 6: Final answer
    x = 349.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.